Spinodal decomposition of a binary mixture in an uniform shear flow

Details Spinodal decomposition of a binary mixture in an uniform shear flow Spinodal decomposition of a binary mixture in an uniform shear flow

1998-06-19

arxiv.org/abs/cond-mat/9806239v1

Phys. Rev. Lett. 81, 3852 (1998)

Physics

Condensed Matter

4 Revtex pages, 3 figures

Scientific paper

10.1103/PhysRevLett.81.3852

Results are presented for the phase separation process of a binary mixture subject to an uniform shear flow quenched from a disordered to a homogeneous ordered phase. The kinetics of the process is described in the context of the time-dependent Ginzburg-Landau equation with an external velocity term. The one-loop approximation is used to study the evolution of the model. We show that the structure factor obeys a generalized dynamical scaling. The domains grow with different typical lengthscales $R_x$ and $R_y$ respectively in the flow and in the shear directions. In the scaling regime $R_y \sim t^{\alpha_y}$ and $R_x \sim t^{\alpha_x}$, with $\alpha_x=5/4$ and $\alpha_y =1/4$. The excess viscosity $\Delta \eta$ after reaching a maximum relaxes to zero as $\gamma ^{-2}t^{-3/2}$, $\gamma$ being the shear rate. $\Delta \eta$ and other observables exhibit log-time periodic oscillations which can be interpreted as due to a growth mechanism where stretching and break-up of domains cyclically occur.

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